Parallel lines.
Straight lines that never intersect
Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle
42
If a pair of adjacent angles formed by intersecting line are linear pairs, what is their relationship?
Supplementary
If a transversal cuts two parallel lines, how many angles are formed?
8
What is the value of angle T?
T = 71
What is Exterior Angle Theorem?
Complementary Angles
Two angles whose measures add up to 90
What is the relationship between angles 3 and 6 ?
Alternate Interior Angles.
One way to prove that lines are parallel lines is through understanding that corresponding angles are
Congruent
FREE SHOT: Who is buried in Grant's tomb?
Grant
(Ulysses S Grant)
What does Triangle Sum Theorem say?
The sum of angles in a triangle is 180 degrees
What is the m∠ x
m∠x= 149
Linear Pair Angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
If the measure of angle 4 is 112, what is the measure of angle 6?
68
What kind of angle add up to 180 degrees?
Supplementary Angles
If the measure of angle 1 = 146 what is the measure of angle 5?
146
Find the value of ∠ x if <C = 72
∠ x = 70
The m<C = 53 and the m ∠ D = 72, what is the measure of the exterior angle DEF?
125
Alternate Exterior Angles.
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
What is the relationship between angles 5 and 8?
Vertical Angles.
If the measure of angle 2 is 30 degrees, what is the measure of angle 6?
30.
If the measure of angle 6 = 75 what is the measure of angle 7?
75
What is the value of ∠ a?
∠ a = 87
If m<A = 67 and m<ACD = 152, what is the m<B?
85
Same-side interior angles
If two parallel lines are cut by a transversal, these angles are on the inside of the two parallel lines and on the same side of the transversal.
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
What is 37 and Alternate Exterior.
Given that a || m, measure of angle 5=98°, then the measures of angles 3 and 4 are:
Angle 3 =82 degrees and angle 4= 98 degrees
If the measure of angle 4 is 1270 what is the measure of angle 7?
53
Find the missing angle measure:
75
If m<A = 47 and the m<CBD = 131, what is the m<C?
84